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Finding the Fourth Proportional to 309.96, 427.75 and 177.20

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Solution

The fourth proportional to 309.96, 427.75 and 177.20 is: 244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 427.75 = 177.20 : x
  2. Step 2: Convert to fraction form
    309.96/427.75 = 177.20/x
  3. Step 3: Cross multiply
    309.96x = 427.75 × 177.20
  4. Step 4: Simplify right side
    309.96x = 75,798.05
  5. Step 5: Solve for x
    x = 75,798.05/309.96
  6. Step 6: Final answer
    x = 244.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.